Robust bilateral control for state convergence in uncertain teleoperation systems with time-varying delay: a guaranteed cost control design

This paper introduces a linear matrix inequality (LMI) approach-based guaranteed cost control for the bilateral teleoperation systems. The main contribution is to take into account the most important constraints in such systems including time-varying delay and model uncertainty to guarantee robust stability and performance. Firstly, we develop a control framework for bilateral teleoperation systems based on the state convergence. Sufficient conditions in terms of LMIs are then provided to achieve the system’s robustness and transparency indices. Finally, simulation results are given to validate the effectiveness of the proposed control strategy.

[1]  X. Nian,et al.  Guaranteed-cost control of a linear uncertain system with multiple time-varying delays: an LMI approach , 2003 .

[2]  Yanjun Wang,et al.  Robust guaranteed cost control of nonlinear uncertain time-varying delay systems , 2010, 2010 International Conference on Machine Learning and Cybernetics.

[3]  Zhongke Shi,et al.  Reinforcement Learning Output Feedback NN Control Using Deterministic Learning Technique , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Chenguang Yang,et al.  Global Neural Dynamic Surface Tracking Control of Strict-Feedback Systems With Application to Hypersonic Flight Vehicle , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Periodic solutions to functional differential equations , 1985 .

[6]  José Maria Azorín,et al.  Generalized control method by state convergence for teleoperation systems with time delay , 2004, Autom..

[7]  Mahdi Tavakoli,et al.  Haptic Effects of Surgical Teleoperator Flexibility , 2009, Int. J. Robotics Res..

[8]  Peter Xiaoping Liu,et al.  Improving Haptic Feedback Fidelity in Wave-Variable-Based Teleoperation Orientated to Telemedical Applications , 2009, IEEE Transactions on Instrumentation and Measurement.

[9]  Li Yu,et al.  An LMI approach to guaranteed cost control of linear uncertain time-delay systems , 1999, Autom..

[10]  Dale A. Lawrence Stability and transparency in bilateral teleoperation , 1993, IEEE Trans. Robotics Autom..

[11]  Yongqiang Ye,et al.  Improving Trajectory Tracking in Wave-Variable-Based Teleoperation , 2010, IEEE/ASME Transactions on Mechatronics.

[12]  Oscar Reinoso,et al.  Control of Teleoperators with Communication Time Delay through State Convergence , 2004 .

[13]  Jong-Hwan Kim,et al.  Stable and high performance teleoperation with time domain passivity control: reference energy following scheme , 2005, ICAR '05. Proceedings., 12th International Conference on Advanced Robotics, 2005..

[14]  Alireza Khosravi,et al.  Swarm-based structure-specified controller design for bilateral transparent teleoperation systems via μ synthesis , 2014, IMA J. Math. Control. Inf..

[15]  Zhongke Shi,et al.  Composite Neural Dynamic Surface Control of a Class of Uncertain Nonlinear Systems in Strict-Feedback Form , 2014, IEEE Transactions on Cybernetics.

[16]  Yana Yang,et al.  Neural network-based adaptive position tracking control for bilateral teleoperation under constant time delay , 2013, Neurocomputing.

[17]  Ali Shahdi,et al.  Model Predictive Control for Transparent Teleoperation Under Communication Time Delay , 2006, IEEE Transactions on Robotics.

[18]  H. Shokri-Ghaleh,et al.  Optimal synchronization of teleoperation systems via cuckoo optimization algorithm , 2014 .

[19]  Min Cheol Lee,et al.  Design of bilateral control for force feedback in surgical robot , 2015 .

[20]  Farrokh Janabi-Sharifi,et al.  A modified adaptive controller design for teleoperation systems , 2010, Robotics Auton. Syst..

[21]  Alin Albu-Schäffer,et al.  Direct force reflecting teleoperation with a flexible joint robot , 2012, 2012 IEEE International Conference on Robotics and Automation.

[22]  Mark W. Spong,et al.  Bilateral teleoperation: An historical survey , 2006, Autom..

[23]  José Maria Azorín,et al.  Bilateral control by state convergence based on transparency for systems with time delay , 2013, Robotics Auton. Syst..

[24]  Jin Yang,et al.  Guaranteed Cost Controller Design of Networked Control Systems with State Delay , 2007 .

[25]  R. W. Daniel,et al.  Fundamental Limits of Performance for Force Reflecting Teleoperation , 1998, Int. J. Robotics Res..

[26]  Tyrone Fernando,et al.  Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays , 2013 .

[27]  Yixin Yin,et al.  Guaranteed cost control design for delayed teleoperation systems , 2015, J. Frankl. Inst..

[28]  Mohammad Farrokhi,et al.  A Simple Structure for Bilateral Transparent Teleoperation Systems With Time Delay , 2008 .

[29]  D. McFarlane,et al.  Optimal guaranteed cost control and filtering for uncertain linear systems , 1994, IEEE Trans. Autom. Control..

[30]  T. Namerikawa,et al.  Symmetric Impedance Matched Teleoperation with Position Tracking , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[31]  Mohammad Farrokhi,et al.  Force Reflecting Bilateral Control of Master–Slave Systems in Teleoperation , 2008, J. Intell. Robotic Syst..

[32]  Wayne J. Book,et al.  Internet-Based Bilateral Teleoperation Based on Wave Variable With Adaptive Predictor and Direct Drift Control , 2006 .

[33]  Yongjun Hou,et al.  Time delayed teleoperation system control, A passivity-based method , 2005, ICAR '05. Proceedings., 12th International Conference on Advanced Robotics, 2005..

[34]  Claudio Melchiorri,et al.  Control schemes for teleoperation with time delay: A comparative study , 2002, Robotics Auton. Syst..

[35]  T. K. C. Peng,et al.  Adaptive Guaranteed Cost of Control of Systems with Uncertain Parameters , 1970 .

[36]  Heidar Ali Talebi,et al.  Design and Implementation of Robust-Fixed Structure Controller for Telerobotic Systems , 2016, J. Intell. Robotic Syst..

[37]  Heidar Ali Talebi,et al.  Adaptive neural network control of bilateral teleoperation with constant time delay , 2011, Nonlinear Dynamics.

[38]  Ian R. Petersen,et al.  Optimal quadratic guaranteed cost control of a class of uncertain time-delay systems , 1997 .

[39]  Mahdi Tavakoli,et al.  Discrete-time bilateral teleoperation: modelling and stability analysis , 2008 .

[40]  Changchun Hua,et al.  Synchronization control for bilateral teleoperation system with prescribed performance under asymmetric time delay , 2015 .

[41]  S. Munir,et al.  Internet-based teleoperation using wave variables with prediction , 2002 .

[42]  Alireza Alfi,et al.  Model Predictive Control of transparent bilateral teleoperation systems under uncertain communication time-delay , 2013, 2013 9th Asian Control Conference (ASCC).

[43]  A. El Saddik,et al.  Nonlinear control for teleoperation systems with time varying delay , 2014 .